Matrix projective synchronization and mechanical analysis of unified chaotic system

• DOI: 10.1002/mma.9944
• Publication Date: 2024-02-28T06:11:37Z
• Authors: Vijay K. Shukla; Mahesh C. Joshi; Grienggrai Rajchakit; Juan E. Nápoles V...; Prashant K. Mishra
• Keywords: Physical system

This article explores the mechanical analysis of a unified chaotic system and matrix projective synchronization (MPS). The sufficient conditions to achieve MPS have derived. mechanics been examined in contrast with Kolmogorov system, Euler equation, Hamiltonian function. Casimir energy function is also introduced analyze dynamics. has transformed into type decomposed four types torques: inertial, internal, dissipation, external torque. In order view behind different particular cases discussed. Five scenarios are using combinations various torques identify key elements chaos creation their physical significance. bifurcation diagram, Lyapunov exponent dimension validates generation for cases.