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We study analytically the coexistence of multiple periodic solutions and invariant tori in the general Van der Pol-Duffing oscillator equations.
Hidden attractors and dynamics of a general autonomous van der pol–duffing oscillator
H. Zhao, Y. Lin, and Y. Dai · 1906
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On a codimension two bifurcation
J. Guckenheimer · 1981
Earlier work this paper cites.
Nonlinear oscillations, dynamical systems and bifurcations of vector fields
J. Guckenheimer and P. Holmes · 1984
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Bifurcation to quasi-periodic tori in the interaction of steady state and hopf bifurcations
J. Scheurle and J. Marsden · 1984
Earlier work this paper cites.
Existence of periodic orbits and invariant tori in codimension two bifurcations of three dimensional systems
H. Maoan · 1998
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Bifurcations, chaos and synchronization in advp circuit with parallel resistor
A. Matouk and H. Agiza · 2008
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Higher order averaging theory for finding periodic solutions via Brouwer degree
J. Llibre, D. D. Novaes, and M. A. Teixeira · 2014
Cited alongside, same era.
Persistence of periodic solutions for higher order perturbed differential systems via Lyapunov–Schmidt reduction
M. R. Cândido, J. Llibre, and D. D. Novaes · 2017
Later among the works it cites.
Hopf-zero singularities truly unfold chaos
I. Baldomá, S. Ibánez, and T. Seara · 2020
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On the torus bifurcation in averaging theory
M. R. Cândido and D. D. Novaes · 2020
Closest in time.
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