Concepedia
Nonlinear Dynamics · 1999 · 22 citations · 11 references
Natural SciencesMechanical EngineeringPhysicsDynamical SystemsSystem DynamicsVibrationBifurcation TheoryChaos TheoryDissipative SystemsNonlinear DynamicsNonlinear VibrationStability TheoryBifurcationChaos In VibrationsChaotic DynamicsHopf BifurcationNonlinear Oscillations
11
A simple global characterization for normal forms of singular vector fields
Christian Elphick, E. Tirapegui, Marc Brächet et al. · Physica D Nonlinear Phenomena · 1987 · 447 citations
Natural Sciences, Visualization, Representation Theory +10
COMPUTATION OF NORMAL FORMS VIA A PERTURBATION TECHNIQUE
Pei Yu · Journal of Sound and Vibration · 1998 · 204 citations
Natural Sciences, Mathematics, Computational Physics +6
Period-doubling bifurcations and chaotic motion for a parametrically forced pendulum
John B. McLaughlin · Journal of Statistical Physics · 1981 · 139 citations
Natural Sciences, Mathematics, Mechanical Engineering +14
Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations
Floris Takens · Journal of Differential Equations · 1973 · 135 citations
Natural Sciences, Mathematics, Physics +14
ANALYSIS OF NON-LINEAR DYNAMICS AND BIFURCATIONS OF A DOUBLE PENDULUM
Pei Yu, Qinsheng Bi · Journal of Sound and Vibration · 1998 · 85 citations