Electrochemical oscillatory behaviour of manganese ions and its square wave modulation

Li Jiaxing; Li Chunbiao; Yang Jie; Wu Zhihao; Zhang Qian; Zheng Guocan; Liu Zuohua; Tao Changyuan

doi:10.1016/j.cjche.2025.07.022

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Electrochemical oscillatory behaviour of manganese ions and its square wave modulation

Updated：2026-03-13

- Electrochemical oscillatory behaviour of manganese ions and its square wave modulation
- Chinese Journal of Chemical Engineering Vol. 89, Issue 1, Pages: 277-292(2026)
- Affiliations：
  
  School of Chemistry and Chemical Engineering, Chongqing University, Chongqing 400044, China
  State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing 400044, China
  School of Artificial Intelligence, Nanjing University of Information Science and Technology, Nanjing 210044, China
- Author bio：
  
  Corresponding author. E-mail address: liuzuohua@cqu.edu.cn(Z. Liu).
- Funds：
- DOI：10.1016/j.cjche.2025.07.022
  CLC：
- Received：16 April 2025，
  
  Revised：2025-05-31，
  
  Accepted：28 July 2025，
  
  Online First：11 September 2025，
  
  Published：2026-01
- Accepted：
Scan QR Code
Li Jiaxing, Li Chunbiao, Yang Jie, et al. Electrochemical oscillatory behaviour of manganese ions and its square wave modulation[J]. Chinese Journal of Chemical Engineering, 2026, 89(1): 277-292.
DOI：

Li Jiaxing, Li Chunbiao, Yang Jie, et al. Electrochemical oscillatory behaviour of manganese ions and its square wave modulation[J]. Chinese Journal of Chemical Engineering, 2026, 89(1): 277-292. DOI： 10.1016/j.cjche.2025.07.022.

摘要

Abstract

In manganese electrolysis

electrochemical oscillations and manganese dendrite growth are typical nonlinear phenomena critical for energy consumption reduction. Nonetheless

existing research lacks a deep understanding of their underlying mechanisms. In this study

we systematically explored the evolution of anode electrochemical oscillations during manganese electrolysis and designed a square wave circuit to effectively suppress oscillations and dendrite growth while reducing energy consumption. A novel four-dimensional differential equation was introduced to explore the internal dynamic mechanisms of typical nonlinear behaviors. The experimental results showed that while the evolutionary patterns of current and potential oscillation signals were consistent

their waveform directions were opposite. The square wave current effectively suppressed both electrochemical oscillations and the growth of manganese dendrites. Furthermore

compared to direct current electrolysis

the square wave current improved the current efficiency by 3.6% and reduced the energy consumption by 0.32 kW·h·kg

- 1

关键词

Keywords

references

A. Chakraborty, P. Veeresha, Effects of global warming, time delay and chaos control on the dynamics of a chaotic atmospheric propagation model within the frame of Caputo fractional operator, Commun. Nonlinear Sci. Numer. Simul. 128 (2024)107657.

I. Bashkirtseva, L. Ryashko, T. Ryazanova, Stochastic variability and transitions to chaos in a hierarchical three-species population model, Chaos Solitons Fractals 119 (2019) 276—328.

A.I. Kakkassery, V.J. Rajesh, R.K. Sinha, D. Padmakumar, K.S. Sajinkumar, Evolutionary history of western Eos chaos of valles marineris, Mars: insights from morphological characteristics, Geosyst. Geoenviron. 2(4)(2023)100207.

E.N. Lorenz, Deterministic nonperiodic flow, J. Atmos. Sci. 20 (2) (1963) 130—141.

Z.Y. Zhong, W. Lin, B.W. Qin, Modulating biological rhythms: a noncomputational strategy harnessing nonlinearity and decoupling frequency and amplitude, Phys. Rev. Lett. 131 (13) (2023) 138401.

X.X. Peng, S.J. Zhou, Finite-time stochastic control for complex dynamical systems: the estimate for control time and energy consumption, Syst. Control Lett. 184(2024)105711.

G.Z. Hu, B.B. Li, Coupling chaotic system based on unit transform and its applications in image encryption, Signal Process. 178(2021)107790.

N. Khalil, A. Sarhan, M.A.M. Alshewimy, An efficient color/grayscale image encryption scheme based on hybrid chaotic maps, Opt. Laser Technol. 143 (2021) 107326.

S.K. Yang, C.L. Chen, H.T. Yau, Control of chaos in Lorenz system, Chaos Solitons Fractals 13 (4) (2002) 767—780.

R. Martínez-Guerra, J.L. Mata-Machuca, Generalized synchronization via the differential primitive element, Appl. Math. Comput. 232(2014)848—857.

R.B. Wafo Tekam, J. Kengne, G. Djuidje Kenmoe, High frequency colpitts' oscillator: a simple configuration for chaos generation, Chaos Solitons Fractals 126(2019)351—360.

J.F. Chang, M.L. Hung, Y.S. Yang, T.L. Liao, J.J. Yan, Controlling chaos of the family of Rössler systems using sliding mode control, Chaos Solitons Fractals 37 (2)(2008)609—616.

O.S. Ojoniyi, A.N. Njah, A 5D hyperchaotic Sprott B system with coexisting hidden attractors, Chaos Solitons Fractals 87 (2016)172—181.

J. Zhang, J.Y. Hou, L.H. Xu, X.P. Zhu, Q.G. Xie, Dynamical analysis, circuit implementation, and simultaneous application of a novel four-dimensional hyperchaotic system based on cosine functions, Microelectron. Eng. 271 (2023)111939.

J.B. Wang, R. Zhang, J.K. Liu, J. Li, Control of Hopf bifurcation for a fourdimensional fractional order hyperchaotic system with coexisting attractors, Nonlinear Dyn. 112 (22) (2024) 20401—20415.

C.B. Xiu, J.Y. Fang, Y.X. Liu, Design and circuit implementation of a novel 5D memristive CNN hyperchaotic system, Chaos Solitons Fractals 158 (2022) 112040.

Z.B. Guo, J.H. Ma, The influence of information acquisition on the complex dynamics of market competition, Int. J. Bifurcation Chaos 26 (1) (2016) 1650008.

H. Yo, Discontinuity-induced bifurcations and chaos in a linear ring oscillator with a piecewise linear reverse coupling, Int. J. Bifurcation Chaos 33 (14) (2023)2330035.

W.R. Lv, J.X. Chen, Q.K. Li, X. Xu, C. Fu, An efficient medical image encryption scheme utilizing nonuniform cellular automaton, Int. J. Bifurcation Chaos 33 (10) (2023)2350119.

A.H. Tian, C.B. Fu, H.G. Xiong, H.T. Yau, Innovative intelligent methodology for the classification of soil salinization degree using a fractional-order masterslave chaotic system, Int. J. Bifurcation Chaos 29 (2) (2019) 1950026.

L. Xiong, F.F. Yang, X.L. An, X.G. Zhang, Hyperchaotic system with application to image encryption, Int. J. Bifurcation Chaos 32(13)(2022)2250191.

W.L. Li, H.X. Jin, H.Y. Xie, L.R. Ma, Synthesis of zeolite A and zeol ite X from electrolytic manganese residue, its characterization and performance for the removal of Cd 2+ from wastewater, Chin. J. Chem. Eng. 62 (2023) 31—45.

J.C. Shu, X.F. Zeng, D.Y. Sun, Y. Yang, Z.H. Liu, M.J. Chen, D.Y. Tan, Enhanced Mn 2+ solidification and NH 4 +-N removal from electrolytic manganese metal residue via surfactants, Chin. J. Chem. Eng. 49 (2022) 205—221.

D. Sun, L. Yang, N. Liu, W.J. Jiang, X. Jiang, J.J. Li, Z.Y. Yang, Z.P. Song, Sulfur resource recovery based on electrolytic manganese residue calcination and manganese oxide ore desulfurization for the clean production of electrolytic manganese, Chin. J. Chem. Eng. 28(3)(2020)864—870.

T.Y. Zhang, J.C. Shu, M.J. Chen, L. Wei, Y. Yang, Recovery and utilization of electrolytic manganese anode slime for the high-value industrialized products-a review, Ind. Eng. Chem. Res. 62(33)(2023)12703—12715.

K.A. Gebru, C. Das, Effects of solubility parameter differences among PEG, PVP and CA on the preparation of ultrafiltration membranes: impacts of solvents and additives on morphology, permeability and fouling performances, Chin. J. Chem. Eng. 25(7)(2017)911—919.

N.K. Onkarappa, P.S. Adarakatti, P. Malingappa, A study on the effect of additive combination on improving anticorrosion property of zinc electrodeposit from acid chloride bath, Ind. Eng. Chem. Res. 56 (18) (2017) 5284—5295.

Y.Q. Wang, X. Wang, P. Gao, J.C. Jiang, A.C. Huang, Novel composite electrolyte additive for enhancing the thermal and cycling stability of SiO/C anode Li-ion battery, Process Saf. Environ. Prot. 189 (2024) 756—767.

Y.Q. Wang, L.J. Xie, H.Q. Sun, X. Wang, H.L. Zhou, Y. Tang, J.C. Jiang, A.C. Huang, 4, 5-Difluoro-1, 3-dioxolan-2-one as a film-forming additive improves the cycling and thermal stability of SiO/C anode Li-ion batteries, Process Saf. Environ. Prot. 183 (2024) 496—504.

Z.H. Wu, Y. Wu, Y. Tang, J.C. Jiang, A.C. Huang, Evaluation of composite flameretardant electrolyte additives improvement on the safety performance of lithium-ion batteries, Process Saf. Environ. Prot. 169 (2023) 285—329.

C.W. Zhao, X.N. Wang, J.S. He, Y.Y. Wang, Z.K. Luan, Effect of polyethylene glycol on the properties of γ-Al 2 O 3 formation by polyaluminum chloride, Chin. J. Chem. Eng. 20 (5) (2012) 1034—1038.

Y.H. Cheng, H. Guo, Interface modification of electrodes through polyethylene glycol in rechargeable zinc-nickel batteries, Chem. Eng. Sci. 232 (2021) 11637.

J.M. Lu, D. Dreisinger, T. Glück, Electrolytic manganese metal production from manganese carbonate precipitate, Hydrometallurgy 161(2016)45—55.

J. Yang, C.B. Li, Q. Zhang, X. Zhang, Z.H. Wu, H.D. Zhong, P.Q. Liu, Z.H. Liu, C.Y. Tao, K.Y. Huang, J.X. Li, G.C. Zheng, A memristive hyperchaotic oscillator with complete control and its application in the electrolysis of manganese, Chaos Solitons Fractals 183(2024)1148.

Z.N. Xie, Z.H. Liu, C.Y. Tao, C.B. Li, J. Chang, Production of electrolytic manganese metal using a new hyperchaotic circuit system, J. Mater. Res. Technol. 18 (2022) 4804—4815.

F. Hakimi, F. Rashchi, M. Ghalekhani, A. Dolati, F. Razi Astaraei, Effect of a synthesized pulsed electrodeposited Ti/PbO 2 —RuO 2 nanocomposite on zinc electrowinning, Ind. Eng. Chem. Res. 60 (31) (2021) 11737—11748.

N.K. Jain, S. Pathak, M. Alam, Synthesis of copper nanoparticles by pulsed electrochemical dissolution process, Ind. Eng. Chem. Res. 58 (2) (2019) 602—608.

M. Hansen, P.R. Protachevicz, K.C. Iarosz, I.L. Caldas, A.M. Batista, E.E.N. Macau, Dynamics of uncoupled and coupled neurons under an external pulsed current, Chaos Solitons Fractals 155(2022)111734.

Y.X. Gao, Y. Zhou, H.T. Wang, W.S. Lin, Y.P. Wang, D.H. Sun, J.Q. Hong, Q.B. Li, Simultaneous silver recovery and cyanide removal from electroplating wastewater by pulse current electrolysis using static cylinder electrodes, Ind. Eng. Chem. Res. 52 (17)(2013)5871—5879.

P. Ruiz, J.M. Gutie'rrez, J. Güe'mez, Experimental mastering of nonlinear dynamics in circuits by sporadic pulses, Chaos Solitons Fractals 36 (3) (2008) 635—645.

Q.Z. Wan, F. Li, S.M. Chen, Q. Yang, Symmetric multi-scroll attractors in magnetized Hopfield neural network under pulse controlled memristor and pulse current stimulation, Chaos Solitons Fractals 169(2023)113259.

F. Jafari, J. Saien, Experimental and model study for liquid—liquid extraction of conductive nanofluid drops under low voltage pulsed electric fields, Chem. Eng. Sci. 258(2022)11776.

H.F. Gong, Z.X. Liao, Y. Peng, Z. Qiu, B. Yu, Y.Y. Zhang, Numerical simulation of dynamic characteristics of droplet in oil under a CPPM electric field, Chem. Eng. Sci. 248(2022)117248.

Q.F. Wei, X.L. Ren, J. Du, S.J. Wei, S.R. Hu, Study of the electrodeposition conditions of metallic manganese in an electrolytic membrane reactor, Miner. Eng. 23 (7)(2010)578—586.

X. Fan, D.P. Yang, L.F. Ding, J. Du, C.Y. Tao, Periodic current oscillation catalyzed by δ -MnO 2 nanosheets, ChemPhysChem 16 (1) (2015) 176—180.

J.M. Lu, D. Dreisinger, T. Glück, Manganese electrodeposition: a literature review, Hydrometallurgy 141(2014) 105—116.

G. Buzsa'ki, A. Draguhn, Neuronal oscillations in cortical networks, Science 304(5679)(2004)1926—1929.

H.X. Wang, Q.Y. Wang, Q.S. Lu, Bursting oscillations, bifurcation and synchronization in neuronal systems, Chaos Solitons Fractals 44 (8) (2011) 667—675.

X. Fan, J. Hou, D.G. Sun, S.Y. Xi, Z.H. Liu, J. Du, J.L. Luo, C.Y. Tao, Mn-oxides catalyzed periodic current oscillation on the anode, Electrochim. Acta 102 (2013)466—471.

D. Rand, L.S. Young, Dynamical Systems and Turbulence, Warwick 1980, Springer Berlin Heidelberg, 1981.

V. Dakos, M. Scheffer, E.H. van Nes, V. Brovkin, V. Petoukhov, H. Held, Slowing down as an early warning signal for abrupt climate change, Proc. Natl. Acad. Sci. USA 105(38)(2008)14308—14311.

T.M. Lenton, Early warning of climate tipping points, Nat. Clim. Change 1(4) (2011)201—209.

G. Sugihara, R. May, H. Ye, C.H. Hsieh, E. Deyle, M. Fogarty, S. Munch, Detecting causality in complex ecosystems, Science 338 (6106) (2012) 496—500.

X.P. Yan, Q. Hu, L. Teng, Y.N. Su, Unmanned ship image encryption method based on a new four-wing three-dimensional chaotic system and compressed sensing, Chaos Solitons Fractals 185 (2024) 115146.

T.K. Zhao, X. Sun, Z.Y. Fan, B.X. Du, A new two-parameter controllable multi-scroll 4D Hamiltonian conservative hyperchaotic system with improved nested COS-PWL function, Chaos Solitons Fractals 189 (2024) 115585.

C. Julien, M. Massot, S. Rangan, M. Lemal, D. Guyomard, Study of structural defects in γ-MnO 2 by Raman spectroscopy, J. Raman Spectrosc. 33 (4) (2002) 223—228.

J. Yang, C.B. Li, Q. Zhang, H.D. Zhong, Z.H. Wu, P.Q. Liu, Z.H. Liu, K.Y. Huang, C. Y. Tao, G.C. Zheng, Y. Yang, H.K. Wei, Hyperchaotic power with wide current variation for efficient manganese electrodeposition, Chem. Eng. Sci. 293 (2024)120010.

Y. Chen, C.Z. Lin, X. Chen, Z.H. Lu, K.C. Zhang, Y. Liu, J.N. Wang, G.R. Han, G. Xu, Modula ting the structure of interlayer/layer matrix on δ -MnO 2 via cerium doping-engineering toward high-performance aqueous zinc ion batteries, Adv. Energy Mater. 14 (35) (2024) 230430.

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