| Summary: | This paper investigates the chaotic behavior of a modified jerk circuit with Chua’s diode. The Chua’s diode considered here is a nonlinear resistor having a symmetric piecewise linear voltage-current characteristic. To describe the system, we apply fundamental laws in electrical circuit theory to formulate a mathematical model in terms of a third-order (jerk) nonlinear differential equation, or equivalently, a system of three first-order differential equations. The analysis shows that this system has three collinear equilibrium points. The time waveform and the trajectories about each equilibrium point depend on its associated eigenvalues. We prove that all three equilibrium points are of type saddle focus, meaning that the trajectory of <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mi>x</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>,</mo><mi>y</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>)</mo></mrow></semantics></math></inline-formula> diverges in a spiral form but <inline-formula><math display="inline"><semantics><mrow><mi>z</mi><mo>(</mo><mi>t</mi><mo>)</mo></mrow></semantics></math></inline-formula> converges to the equilibrium point for any initial point <inline-formula><math display="inline"><semantics><mrow><mo>(</mo><mi>x</mi><mo>(</mo><mn>0</mn><mo>)</mo><mo>,</mo><mi>y</mi><mo>(</mo><mn>0</mn><mo>)</mo><mo>,</mo><mi>z</mi><mo>(</mo><mn>0</mn><mo>)</mo><mo>)</mo></mrow></semantics></math></inline-formula>. Numerical simulation illustrates that the oscillations are dense, have no period, are highly sensitive to initial conditions, and have a chaotic hidden attractor.
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