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A method is provided of boosting power to a continuously variable transmission having a motor. The continuously variable transmission is powered by an engine. The method includes selectively adjusting a power output of the engine above a steady state power output rating of the engine when an acceler

A method is provided of boosting power to a continuously variable transmission having a motor. The continuously variable transmission is powered by an engine. The method includes selectively adjusting a power output of the engine above a steady state power output rating of the engine when an acceleration of the motor exceeds an acceleration threshold value.

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What is claimed is: 1. A method of boosting power to a continuously variable transmission having a motor, the continuously variable transmission powered by an engine, comprising: selectively adjusting a power output of the engine above a steady state power output rating of the engine when an accele

What is claimed is: 1. A method of boosting power to a continuously variable transmission having a motor, the continuously variable transmission powered by an engine, comprising: selectively adjusting a power output of the engine above a steady state power output rating of the engine when an acceleration of the motor exceeds an acceleration threshold value, wherein the selectively adjusting the power of the engine includes: selecting a first engine underspeed threshold when the acceleration of the motor exceeds an acceleration threshold value, and selecting a second engine underspeed threshold at other times; sensing a speed of the engine; and adjusting at least one parameter of the engine to control the rate of fuel combustion in the engine to provide an engine power output in accordance with an engine power map, wherein the engine power map represents engine power output as a function of engine speed. 2. The method of claim 1, wherein the acceleration of the motor is a predicted acceleration, a requested acceleration, or a sensed acceleration. 3. The method of claim 1, further comprising: receiving an operator input signal; determining a requested motor speed based on the operator input signal; and determining the acceleration of the motor based on the rate of change of the requested motor speed. 4. The method of claim 1, wherein the engine power map provides more engine output power at the first engine underspeed threshold than at the second engine underspeed threshold. 5. The method of claim 1, further comprising: selectively adjusting the power output of the engine to a lever at or below the steady state power output rating of the engine when the acceleration of the motor is less than the acceleration threshold value. 6. The method of claim 1, wherein the acceleration threshold value is zero. 7. A method of boosting power to a continuously variable transmission having a motor, the continuously variable transmission powered by an engine, comprising: determining an acceleration of the motor; selecting a first engine underspeed threshold when the acceleration exceeds an acceleration threshold value, and selecting a second engine underspeed threshold at other times; sensing a speed of the engine; and adjusting at least one parameter of the engine to control the rate of fuel combustion in the engine to provide an engine power output in accordance with an engine power map, wherein the engine power map represents engine power output as a function of engine speed. 8. The method of claim 7, wherein the engine power map provides more engine output power at the first engine underspeed threshold than at the second engine underspeed threshold. 9. The method of claim 7, wherein the at least one parameter is selected from the group of (i) a rate of fuel flow to the engine, (ii) a rate of air flow to the engine, (iii) a timing of fuel injection, (iv) a throttle position, and (v) an engine air pressure. 10. The method of claim 7, further comprising: receiving an operator input signal; determining a requested motor speed based on the operator input signal; and determining the acceleration of the motor based on the rate of change of the requested motor speed. 11. A continuously variable transmission System, comprising: an engine; a continuously variable transmission powered by the engine, the continuously variable transmission including a motor; and a controller operative to selectively adjust a power output of the engine above a steady state power output rating of the engine when an acceleration of the motor exceeds an acceleration threshold value, wherein the controller is operative to selectively adjust a power output of the engine by; (i) determining an acceleration of the motor; (ii) selecting a first engine underspeed threshold when the acceleration exceeds a threshold value and selecting a second engine underspeed threshold at other times; and (iii) adjusting at least one parameter of the engine to control the rate of fuel combustion in the engine to provide an engine power output in accordance with an engine power map, wherein the engine power map represents engine power output as a function of engine speed. 12. The system of claim 11, wherein the continuously variable transmission includes a generator coupled to the engine, and wherein the motor is an electric motor powered by the generator. 13. The system of claim 11, wherein the engine is sized to have a steady state rated output power sufficient to drive the motor when the motor is not accelerating. 14. The system of claim 11, wherein the engine is capable of providing power above its rated output power sufficient to accelerate the motor for intermittent periods of time without damage to the engine.