Research Article

The Dynamics Behavior of Coupled Generalized van der Pol Oscillator with Distributed Order

Table 2

Lyapunov exponent of system (10) for three cases.

Case 1: Fix  =  and vary
BDynamics
266.00413.1382−6.1039−6.7879Hyperchaotic behavior of order 2
289.37593.7670−4.5096−6.2100Hyperchaotic behavior of order 2
307.49834.1911−5.3663−7.3997Hyperchaotic behavior of order 2

Case 2: Fix  =  and vary
Dynamics
218.08254.8029−10.4143−11.0868Hyperchaotic behavior of order 2
257.49834.1911−5.3663−7.3997Hyperchaotic behavior of order 2
278.71464.6502−4.9561−6.7303Hyperchaotic behavior of order 2

Case 3: Fix  =  and vary
Dynamics
0.71.9130−0.0303−10.6506−11.3279Chaotic behavior
27.49834.1911−5.3663−7.3997Hyperchaotic behavior of order 2
97.14573.4489−6.1396−7.6788Hyperchaotic behavior of order 2