The recent advances for an archetypal smooth and discontinuous oscillator

Y Zhang, Q Cao - International journal of mechanical sciences, 2022 - Elsevier
The so called archetypal smooth and discontinuous (SD) oscillator with irrational
nonlinearity is a simple mass-spring system constrained to a straight line by a geometrical …

[PDF][PDF] A 3-D Novel Conservative Chaotic System and its Generalized Projective Synchronization via Adaptive Control.

S Vaidyanathan, S Pakiriswamy - Journal of Engineering …, 2015 - pdfs.semanticscholar.org
This research work proposes a five-term 3-D novel conservative chaotic system with a
quadratic nonlinearity and a quartic nonlinearity. The conservative chaotic systems have the …

[PDF][PDF] Analysis, adaptive control and synchronization of a seven-term novel 3-D chaotic system with three quadratic nonlinearities and its digital implementation in …

S Vaidyanathan, K Rajagopal, CK Volos… - Journal of …, 2015 - researchgate.net
This research work proposes a seven-term novel 3-D chaotic system with three quadratic
nonlinearities and analyses the fundamental properties of the system such as dissipativity …

[PDF][PDF] Analysis, adaptive control and adaptive synchronization of a nine-term novel 3-D chaotic system with four quadratic nonlinearities and its circuit simulation

S Vaidyanathan, CK Volos, VT Pham - J Eng Sci Technol Rev, 2015 - jestr.org
This research work describes a nine-term novel 3-D chaotic system with four quadratic
nonlinearities and details its qualitative properties. The phase portraits of the 3-D novel …

[PDF][PDF] Analysis, adaptive control and anti-synchronization of a six-term novel jerk chaotic system with two exponential nonlinearities and its circuit simulation.

S Vaidyanathan, CK Volos, IM Kyprianidis… - Journal of Engineering …, 2015 - academia.edu
This research work proposes a six-term novel 3-D jerk chaotic system with two exponential
nonlinearities. This work also analyses system's fundamental properties such as …

[PDF][PDF] Analysis, control, synchronization and SPICE implementation of a novel 4-D hyperchaotic Rikitake dynamo system without equilibrium

S Vaidyanathan, CK Volos… - Journal of Engineering …, 2015 - researchgate.net
Chaos theory has wide applications and its importance can be seen by the voluminous
publications on various applications in several branches of science, commerce and …

[PDF][PDF] Adaptive Backstepping Controller Design for the Anti-Synchronization of Identical WINDMI Chaotic Systems with Unknown Parameters and its SPICE …

S Vaidyanathan, CK Volos… - Journal of …, 2015 - pdfs.semanticscholar.org
This paper derives new results for the adaptive backstepping controller design for the anti-
synchronization of identical WINDMI systems (Wind-Magnetosphere-Ionosphere models) …

[PDF][PDF] A 3-D novel highly chaotic system with four quadratic nonlinearities, its adaptive control and anti-synchronization with unknown parameters

S Vaidyanathan - Journal of Engineering Science and Technology …, 2015 - jestr.org
This research work proposes a seven-term 3-D novel dissipative chaotic system with four
quadratic nonlinearities. The Lyapunov exponents of the 3-D novel chaotic system are …

Walking dynamics of the passive compass-gait model under OGY-based control: emergence of bifurcations and chaos

H Gritli, S Belghith - Communications in Nonlinear Science and Numerical …, 2017 - Elsevier
An analysis of the passive dynamic walking of a compass-gait biped model under the OGY-
based control approach using the impulsive hybrid nonlinear dynamics is presented in this …

Robust master-slave synchronization of chaos in a one-sided 1-DoF impact mechanical oscillator subject to parametric uncertainties and disturbances

H Gritli - Mechanism and Machine Theory, 2019 - Elsevier
This paper addresses the problem of robust master-slave synchronization of chaos in a 1-
DoF impact mechanical oscillator with a single rigid constraint. The master is considered to …