• Stability and chaotic dynamics of forced $\phi^{8}$ generalised Liénard systems

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/093/05/0080

• # Keywords

Forced generalised Liénard oscillator; four-well potential; monostability and bistability; bifurcation; chaos

• # Abstract

This work studies a forced generalised Liénard oscillator with $\phi^{8}$ potential with order 8 dissipation. The fixed points and their stability have been analysed for autonomous and non-dissipative Liénard oscillator. The system can exhibit three, five or seven fixed points and the corresponding stability diagram is checked and analysed. The effect of restoring parameters on the potential is also studied. Periodic, multiperiodic and chaotic monostable and bistable attractors and their coexistence have been checked through the bifurcation diagram, Lyapunov exponent, phase space and Poincaré section using the fourth-order Runge–Kutta algorithm. The results obtained by the analytical methods are validated and complemented by the numerical simulations.

• # Author Affiliations

1. Laboratoire de Mécanique des Fluides, de la Dynamique Nonlinéaire et de la Modélisation des Systèmes Biologiques (LMFDNMSB), Institut de Mathématiques et de Sciences Physiques, Porto-Novo, Benin
2. Université Nationale des Sciences Technologies, Ingénierie et Mathématiques (UNSTIM), Boîte Postale 2282, Abomey, Zou, Benin

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019