Nonlinear Oscillators
Analytical and Approximate Solutions to the Fee Vibration of Strongly Nonlinear Oscillators
... nonlinear oscillators. This study has clarified the motion equation of nonlinear oscillators by the iteration method to obtain the relationship between amplitude and angular ...
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DETERMINATION OF THE FREQUENCY-AMPLITUDE RELATION FOR NONLINEAR OSCILLATORS WITH FRACTIONAL POTENTIAL USING HE’S ENERGY BALANCE METHOD S. S. Ganji , D. D. Ganji, and S. Karimpour
... solve nonlinear oscillators with fractional potential by applying the Energy balance method (EBM), and to compare the approximate frequency obtained with the exact one and with other approximate frequency ...
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Application of the Energy Balance Method for Strongly Nonlinear Oscillators
... Abstract—In this paper,He’s energy balance method is applied to nonlinear oscillators. We illustrate that the energy balance is very effective and convenient and does not require linearization or small ...
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Periodic Solutions for Some Strongly Nonlinear Oscillators Applying He’s Methods
... the nonlinear oscillators are efficiently han- dled by He’s energy balance method or He’s frequency for- ...of nonlinear oscillators, see, for example, ...
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On the design of external excitations in order to make nonlinear oscillators respond as free oscillators of the same or different type
... certain nonlinear oscillators with cubic and quadratic nonlinearity that are expressed in terms of Jacobi elliptic functions and depend on the system parameters and the ...Duffing oscillators with ...
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Analysis of Nonlinear Oscillators with U Force by He’S Energy Balance Method
... Abstract—In this letter,an application of energy balance method is applied to solve the nonlinear oscillators with u n force. Comparison is made between the modification of harmonic balance method and energy ...
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Internal-External Resonance and Saturation Phenomenon in a Two Coupled Nonlinear Oscillators
... Abstract A class of two degree of freedom nonlinear oscillators, with parametric excitation forces is considered and investigated. The case of one-to-one internal resonance and subharmonic external ...
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Resonant response functions for nonlinear oscillators with polynomial type nonlinearities
... order nonlinear oscillator without the need for the usual preparatory transformation into first order form ...of nonlinear oscillators, which has it’s origins in the work of Poincar´e ...in ...
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Modified Modeling of the Heart by Applying Nonlinear Oscillators and Designing Proper Control Signal
... Rhythmic phenomena are one of the most striking manifestations of dynamic behavior in biological systems. Under- standing the mechanisms of biological rhythms, is crucial for understanding the dynamic of life. Each type ...
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Stochastic and Collective Properties of Nonlinear Oscillators
... single nonlinear oscillator, part II of the thesis is devoted to nonequilibrium collective effects in a 1-dimensional chain of nonlinear ...interacting nonlinear oscillators with dif- ferent, ...
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Simultaneous normal form transformation and model-order reduction for systems of coupled nonlinear oscillators
... the nonlinear terms are not necessarily ε 1 - order ...the nonlinear dynamic behaviour, whilst simultaneously reducing the order of the system from two- to one-degree- ...
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Analysis and control of nonlinear oscillators
... Control Engineering group of the University of Twente the robot Dribbel has been built [8]. The main problem with these walking robots is that it is hard to ensure robustness. Relatively small disturbances can cause the ...
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The Lorenz chaotic systems as nonlinear oscillators with memory
... (4.1) where X(t), Y(t), a, r are complex functions and parameters, Z(t) is a real function, σ , b are real parameters and the asterisk (*) denote complex conjugate. Thus, in real quantities (3.17) is a five- dimensional ...
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Fluctuational transitions in periodically driven nonlinear oscillators
... In the present paper we use measurements of the prehistory probability distribution for the direct experimental investigation of uctuational escape from a chaotic attractor and discuss the possibility of achieving ...
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Parameters and solutions of linear and nonlinear oscillators
... In this work, relationship between existence of solutions for classes of nonlinear boundary value problems with equations of the form 1.1 and the smallest.. or the largest eigenvalue of [r] ...
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Optimizing Nonlinear Oscillators for One Arm with Two Joints
... Spiking Neural Networks (SNN) are a more natural type of NN than multi-layer perception networks, because SNN does not fire each propagation cycle but only fires when the charge over a membrane have reached a current ...
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Out-of-unison resonance in weakly nonlinear coupled oscillators
... of nonlinear coupled oscillators, resonant interactions can occur between constituent parts of the ...by nonlinear springs—a type of system where out-of-unison resonance has not previously been ...
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He's Energy Balance Method to Evaluate the Effect of Amplitude on the Natural Frequency in Nonlinear Vibration Systems
... Abstract—This paper presents a new approach for solving accurate approximate analytical solution for strong nonlinear oscillators. The new algorithm offers a promising approach by Hamiltonian for the ...
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Analysis of Nonlinear Oscilators with Finite Degrees of Freedom
... By using the IHB method the frequency re sponse o f the resonance curve of periodically excited nonlinear oscillators can be easilly computed by incrementing the frequency o f the exciting signal. In ...
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Analytical approximate solutions for the Helmholtz Duffing oscillator
... The nonlinear Helmholtz oscillator has received considerable attention especially in the last decade in nonlinear sciences and ...of nonlinear sciences, an intensifying interest among with scientists ...
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