We analyze the global structure of the solutions of a three-dimensional, autonomous ordinary differential equation which depends on two parameters. We use graphical, heuristic, and rigorous arguments to show that as the parameters vary, a wide range of dynamical behavior is displayed.
On the structure of the solutions of a two-parameter family of three-dimensional differential equations / R. Johnson; S. Impram; R. Pavani. - In: INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS IN APPLIED SCIENCES AND ENGINEERING. - ISSN 0218-1274. - STAMPA. - 13:(2003), pp. 1287-1298. [10.1142/S0218127403007229]
On the structure of the solutions of a two-parameter family of three-dimensional differential equations
JOHNSON, RUSSELL ALLAN;
2003
Abstract
We analyze the global structure of the solutions of a three-dimensional, autonomous ordinary differential equation which depends on two parameters. We use graphical, heuristic, and rigorous arguments to show that as the parameters vary, a wide range of dynamical behavior is displayed.
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