在与扩散相结合的丘亚电路中进行单一扰动分析
1School of Mathematics, China University of Mining and Technology, Xuzhou 221116, People's Republic of China.
Chaos (Woodbury, N.Y.)
|October 13, 2023
概括
这项研究证明,在丘亚的电路系统中存在移动波解决方案,揭示了具有相同波速的异临床循环. 这一循环会产生复杂的超混乱行为.
科学领域:
- 非线性动力学是一种非线性动力学.
- 电路理论 电路理论
- 混沌理论 混沌理论
背景情况:
- 楚亚电路是一个基本的非线性电子电路.
- 的电路的合阵列表现出复杂的动态.
- 移动波的解决方案对于理解这些系统中的波传播至关重要.
研究的目的:
- 为了研究来自合的丘亚电路阵列的奇异扰动系统中的移动波解决方案.
- 分析异质临床循环的存在和特性.
- 描述与这些解决方案相关的混乱行为.
主要方法:
- 几何奇点扰动理论. 几何奇点扰动理论.
- 不变的多元理论. 不变的多元理论.
- 对异常临床循环的分析.
主要成果:
- 存在异质临床循环,前后波的移动速度相同.
- 波速的表达式的导数.
- 鉴定异常临床循环引起的超级混乱.
结论:
- 这项研究证实了在合的丘亚电路系统中存在特定的移动波解决方案.
- 已识别的异常临床循环是复杂,超混乱动态的来源.
- 这项研究提供了关于非线性电路中的波传播和混乱现象的见解.
相关概念视频
Carrier Transport
452
The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:
452
RLC Series Circuits
3.0K
An RLC series circuit comprises an inductor, a resistor, and a charged capacitor connected in series. When the circuit is closed, the capacitor begins to discharge through the resistor and inductor by transferring energy from the electric field to the magnetic field. Here, the resistor connected to the circuit causes energy losses; therefore, on the complete discharge of the capacitor, the magnetic field energy acquired by the inductor is less than the original electric field energy of the...
3.0K
RC Circuit without Source
1.1K
When a DC source is abruptly disconnected from an RC (Resistor-Capacitor) circuit, the circuit becomes source-free. Assuming that the capacitor was fully charged before the source was removed, its initial voltage, denoted as V0, can be considered as the initial energy that stimulates the circuit.
Applying Kirchhoff's current law at the top node of the circuit and substituting the current values across the components, a first-order differential equation is obtained. By rearranging the terms...
Applying Kirchhoff's current law at the top node of the circuit and substituting the current values across the components, a first-order differential equation is obtained. By rearranging the terms...
1.1K
Series RLC Circuit without Source
1.2K
Within the field of electrical circuits, source-free RLC circuits present an intriguing domain. These circuits comprise a series arrangement of a resistor, inductor, and capacitor, operating independently of external energy sources. Their initiation hinges upon utilizing the initial energy stored within the capacitor and inductor to instigate their functionality. Their mathematical equation, a second-order differential equation, sets these circuits apart. This equation captures how the...
1.2K
P-N junction
547
A p-n junction is formed when p-type and n-type semiconductor materials are joined together. At the interface of the p-n junction, holes from the p-side and electrons from the n-side begin to diffuse into the opposite sides due to the concentration gradient. This diffusion of carriers leads to a region around the junction where there are no free charge carriers, known as the depletion region. The charge density within the depletion region for the n-side and p-side can be described by the...
547
Parallel RLC Circuits
901
Street lamps equipped with RLC surge protectors are an excellent example of applying circuit analysis in practical scenarios. These surge protectors safeguard the lamp's components against sudden voltage spikes.
A simplified parallel RLC circuit model with a DC input source generating a step response is employed in this context. When the switch is turned on, Kirchhoff's current law is applied, leading to a second-order differential equation.
A simplified parallel RLC circuit model with a DC input source generating a step response is employed in this context. When the switch is turned on, Kirchhoff's current law is applied, leading to a second-order differential equation.
901


