Coherent regimes of mutually coupled Chua's circuits

Area of Science:

• Nonlinear dynamics
• Circuit theory
• Complex systems

Background:

• Chua's circuits exhibit complex nonlinear behavior.
• Coupling multiple circuits can lead to emergent dynamical regimes.
• Parameter mismatches are common in real-world electronic systems.

Purpose of the Study:

• To investigate the dynamical regimes arising from strong coupling of mismatched Chua's circuits.
• To develop a method for precisely targeting desired dynamical regimes.
• To explore the potential for achieving states beyond the accessible range of isolated circuits.

Main Methods:

• Utilizing a theoretical technique known as order parameter expansion.
• Conducting numerical simulations to verify theoretical predictions.
• Experimental validation using physical electronic circuits.

Main Results:

• Demonstrated a method to combine parameter diversity and coupling for robust regime targeting.
• Showcased the ability to achieve dynamical regimes outside the accessible parameter space of individual circuits.
• Confirmed that predictable changes in collective dynamics can be achieved in large populations of coupled, mismatched circuits.

Conclusions:

• The developed targeting process offers precise control over complex nonlinear systems.
• Strong coupling and parameter diversity are key to accessing novel dynamical states.
• The findings are applicable to large populations of strongly coupled circuits with parameter mismatches.