Stability Analysis and Combination-Combination Synchronization of the Chaotic System

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Authors

  • Vijay K. Shukla Department of Mathematics, D.S.B. Campus, Kumaun University, Nainital-263001, Uttarakhand, India Author
  • Mahesh C. Joshi Department of Mathematics, D.S.B. Campus, Kumaun University, Nainital-263001, Uttarakhand, India Author

DOI:

https://doi.org/10.5890/JAND.2025.12.005

Abstract

This work examines the analysis of Jacobi stability of the Sprott-C system by using the KCC-theory. The five KCC invariants are obtained to study the system's characteristics. We also calculate the spherical and ellipsoidal ultimate bound of the ecological model. Further, we analyze combination-combination synchronization among chaotic systems with delay and without delay terms. To see the effect of time-delay on combination-combination synchronization we are considering the time-delay ecological chaotic system. By designing suitable controllers, the synchronization among these systems is achieved. Finally, numerical results validate the feasibility of the designed control method.

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PublishedDecember 2025

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How to Cite

Shukla, V. K., & Joshi, M. C. (2026). Stability Analysis and Combination-Combination Synchronization of the Chaotic System. Journal of Applied Nonlinear Dynamics, 14(4), 819-834. https://doi.org/10.5890/JAND.2025.12.005