Journal
NONLINEAR DYNAMICS
Volume 84, Issue 2, Pages 755-765Publisher
SPRINGER
DOI: 10.1007/s11071-015-2525-z
Keywords
Chaotic system; Local stability; Hopf bifurcation; Numerical continuation technique; Poincare map
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Funding
- Higher Education Commission (HEC), Pakistan [SRGP (PD-IPFP/HRD/ HEC/2014/1659]
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In this article, Hopf bifurcation is characterized for newly proposed Bhalekar-Gejji three-dimensional chaotic dynamical system. By analytical method, a sufficient condition is established for the existence of Hopf bifurcation. Using numerical continuation technique, Hopf bifurcation diagram is analyzed for chaotic parameter which strengthens our analytical results. Moreover, influence of system parameters on dynamical behavior is investigated using phase portraits, Lyapunov exponents, Lyapunov dimensions and Poincar, maps. Theoretical analysis and numerical simulations demonstrate the rich dynamics of the system.
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