Phase portraits of planar control systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 27, Issue 10, 1996, Pages 1177-1197

  Llibre, Jaume ^a   Sotomayor, Jorge ^b  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b Inst de Matematica e Estatistica   (Brazil)

Author keywords

Bifurcation diagram; Nonlinear control systems; Phase portrait

Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; CALCULATIONS; CONFORMAL MAPPING; CONTROL THEORY; GEOMETRY; MATRIX ALGEBRA; NONLINEAR EQUATIONS; THEOREM PROVING;

BASIC PARAMETERS; BASIN OF ATTRACTION; CHARACTERISTIC FUNCTION; DOUBLE SADDLE CONNECTIONS; FUNDAMENTAL SYSTEMS; HOMOCLINIC LOOPS; PERIODIC ORBITS; PLANAR CONTROL SYSTEMS; TWO DIMENSIONAL SYSTEMS;

NONLINEAR CONTROL SYSTEMS;

EID: 0030296063     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00129-J     Document Type: Article

References (7)

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3. ALVAREZ J., SUÁREZ R. & ALVAREZ J., Planar Linear Systems with Single Saturated Feedback (preprint). University Autònoma Metrop., Mexico (1992).
4. LLIBRE J. & PONCE E., Periodic Orbits in Nonlinear Control Systems (preprint). University Autònoma, Barcelona (1993).
5. ZHANG ZHIFEN et al., Qualitative Theory of Differential Equations, Translation of Mathematical Monographs, Vol. 101. American Mathematical Society (1992).
6. LEVINSON N. & SMITH O. K., A general equation for relaxation oscillations, Duke math. J. 9, 382-403 (1942).
7. LIÉNARD A., Etudes des oscillations entretenues, Rev. Gen. d'Electricité XXIII, 901-946 (1928).