Chaos in limit cycle systems with external periodic excitations

W.‐H. Steeb, A. Kunick

Type: Article

Publication Date: 1987-01-01

Citations: 25

DOI: https://doi.org/10.1016/0020-7462(87)90028-x

View Publication

Locations

International Journal of Non-Linear Mechanics - View

Similar Works

Action	Title	Year	Authors
+	Chaos in almost periodic systems	1989	Kenneth J. Palmer Daniel Stoffer
+ PDF Chat	Limit cycles and chaos induced by a nonlinearity with memory	2022	K. J. H. Peters S. R. K. Rodríguez
+ PDF Chat	Periodic motions and chaos in nonlinear dynamical systems	2019	Albert C. J. Luo
+	Chaotic solutions of systems with almost periodic forcing	1986	J�rgen Scheurle
+	Chaotic attractors of an infinite-dimensional dynamical system	1982	J. Doyne Farmer
+	Limit Cycles and Periodic Solutions	2008
+	Limit cycle and bifurcation of nonlinear problems	2005	Ji‐Huan He
+	Limit Cycle Oscillations	2014	Richard B. Hetnarski Richard B. Hetnarski
+	Limit cycles and chaos in equations of the pendulum type	1989	A. D. Morozov
+	Limit cycles of non-smooth oscillators	2007	J.I. Ramos
+	Periodic orbits of dynamical systems with chaotic behavior	1982	S. De Gregorio Elisabetta Scoppola B. Tirozzi
+	Limit cycle bifurcations in a class of piecewise Hamiltonian systems	2025	Wenwen Hou Maoan Han
+ PDF Chat	Infinite-Dimensional Linear Dynamical Systems with Chaoticity	1999	Xinchu Fu Jinqiao Duan
+	Homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder	2021	Shi Yi-xia Maoan Han Lijun Zhang
+	Limit cycles in a general two-stroke oscillation	2005	Xuncheng Huang Lemin Zhu Ansheng Cheng
+	Sensitivity computation of chaotic limit cycle oscillations	2012	Qiqi Wang Rui Hu Patrick Blonigan
+	Bifurcation of limit cycles in a piecewise smooth near-integrable system	2021	Yun Tian Xinyu Shang Maoan Han
+	The stability of limit cycles in nonlinear systems	2008	Ali Ghaffari Masayoshi Tomizuka Reza A. Soltan
+	Bifurcation of limit cycles near heteroclinic loops in near-Hamiltonian systems	2020	Wei Geng Yun Tian
+	Emergence of limit-periodic structure without matching rules	2014	Catherine Marcoux Travis W. Byington Joshua E. S. Socolar

Works That Cite This (6)

Action	Title	Year	Authors
+	Stability analysis for periodic solutions of the Van der Pol–Duffing forced oscillator	2015	Jifeng Cui Jiaming Liang Zhiliang Lin
+	Dynamical Response of a Van der Pol System with an External Harmonic Excitation and Fractional Derivative	2013	Arkadiusz Syta Grzegorz Litak
+	Limit cycles of periodically forced oscillations	1989	Iberê L. Caldas H. Tasso
+	On the numerical approximation of trajectories in the phase plane	2002	Tony Narayaninsamy
+	Bifurcation and chaos in the double-well Duffing–van der Pol oscillator: Numerical and analytical studies	1997	A. Venkatesan M. Lakshmanan
+ PDF Chat	Features of pulsed synchronization of an autooscillatory system with a three-dimensional phase space	2006	А. П. Кузнецов Nataliya Stankevich L. V. Tyuryukina

Works Cited by This (10)

Action	Title	Year	Authors
+	Periodically forced relaxation oscillations	1980	Mark Levi
+	Symbolic dynamics and relaxation oscillations	1980	John Guckenheimer
+ PDF Chat	On non-linear differential equations of the second order: III. The equation $\ddot y - k(1 - y^2 )\dot y + y = b \mu k cos (\mu t + \alpha )$ for large k, and its generalizationsfor large k, and its generalizations	1957	J. E. Littlewood
+	For all real μ, ẍ + μ sinẋx + x = 0 has an infinite number of limit cycles	1969	Robert N D'heedene
+ PDF Chat	Solutions to Non-Linear Reaction-Diffusion Equations in Two Space Dimensions	1982	Walter Strampp W.‐H. Steeb W. Erig
+	Painleve property of anharmonic systems with an external periodic field	1983	W.‐H. Steeb A. Kunick
+	Chaotic behaviour and limit cycle behaviour of anharmonic systems with periodic external perturbations	1983	W.‐H. Steeb W. Erig A. Kunick
+	On periodic solutions of the system ·x = y − F(x), ·Y = −g(x)	1971	P. J. Ponzo Nelson Wax
+	A connection between nonlinear evolution equations and ordinary differential equations of P-type. I	1980	Mark J. Ablowitz A. Ramani Harvey Segur
+	On non-linear differential equations of the second order	1949	M. L. Cartwright